Answer :

Given;


f(x) = x3 – 3px2 + qx – r


Let a, b and c be the zeroes of the polynomial x3 – 3px2 + qx – r


a + b + c = 3 p


ab + bc + ac = q


abc = r


a + b = 2b b = p a + c = 2p


b(a + c) + ac = q


2p2 + ac = q


ac = r/p


2p2 + r/p = q


2p3 = pq – r

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